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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 801, page id 1815201908:0858
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=858
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 recognised, mean confidence 0.82
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

calis
NECI
Dieo
E PL A N V MI.
Dicoplanum HI ductum in C. L, corpus producere aequale illi quod
OrIEUT ex L. H bali ducta in alticudinem C I.
Demonsratio.
rectangulis aequalia ponuneur rectan-
outa TCK; ve G FI ad GL, SC CFK
cst ad CT. e converrendo ve TII ad
GL. AC KL. 2d L. C rectangula 1gi
CUE FIICL, aequalia lunc rectangulis
T K CT: Quare I. R ductum in alcieu-
dinem CT corpus producit a aquale
illiquod emersic ex HI ducto in C. L.
Duoderat demonstrandum.
Veacur quornis numero G HTKF
DatAHICIX adC F. Ouoniam LTVTL
PRBPOSITIO
Tirculum ABC, contingant in B, A, D p_eIslinex BC, ACFL, DII,
iu
FD, lD proporrionales dem per  pulccum concactus ducatur IAC
aquidiTanS P. K, OcCCHS CMCHIO ABC in C, e per R, C, L. punCEa,
parabola delcribatur L CR.
Dico OM planum duccum in MP, aequalem illi proferre magnieu-
dinem, qux oritur ex M 9 plano ducco in alcicudinem NIN.
Ad CB, ITD quidem aequidistenc e ACHI ad caldem lic normalis:
rectae vero AG HI parallela PONAEUE F F, RanEque F G, EB, FR, SCFFI,
Demonstratio.
Veancur linex infinica MN O P O parallelx ad P R. Ouoniam E C, F. B, L K,
Ec. proporrionaleslune, _ K CI parabola est _ BOD circulus rectangula
NTM Oxequalia sunt OMP veFacile deducitur ex iis quae in lib. de parabola demon-
Atrauiplanum ixicur M C ductum bin altau  N xquale eAt M O IplanO du- B 46 lvino.
eto in planum MP. ubaClac demonstrandum.
AI_CM DOLItiS:
OeOsITTO C
ex basiPO ducta audinem MN.
Dico HO ductum in M Corpus Proterre aequase uI Guoa OrIcus
Litt3
Demon-
A e e e   e  te  t. ute t e te a i e   e  e e  i   e           u  ut   e e   1     at     rn l